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Pith Number

pith:A7LBYPG7

pith:2014:A7LBYPG7K5OHUZSZ2UKGOKGYSF
not attested not anchored not stored refs pending

The implicit function theorem and free algebraic sets

Jim Agler, John E. McCarthy

arxiv:1404.6032 v1 · 2014-04-24 · math.AG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{A7LBYPG7K5OHUZSZ2UKGOKGYSF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp
2 Internet Archive
3 Author claim open · sign in to claim
4 Citations open
5 Replications open
Portable graph bundle live · download bundle · merged state
The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.
Receipt and verification
First computed 2026-05-18T02:53:18.596912Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

07d61c3cdf575c7a6659d5146728d8915bae531bec0e455bb60fe8bbcdf3dc85

Aliases

arxiv: 1404.6032 · arxiv_version: 1404.6032v1 · doi: 10.48550/arxiv.1404.6032 · pith_short_12: A7LBYPG7K5OH · pith_short_16: A7LBYPG7K5OHUZSZ · pith_short_8: A7LBYPG7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/A7LBYPG7K5OHUZSZ2UKGOKGYSF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 07d61c3cdf575c7a6659d5146728d8915bae531bec0e455bb60fe8bbcdf3dc85
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "559cd819852276417e0856c311bd546deae64d2bc9a6fe8caefad2446e9acbfc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-24T05:52:20Z",
    "title_canon_sha256": "1871a4a8dccab8f6f81616c161d73881475c86b8e1bd291f86a34ecb98db49fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.6032",
    "kind": "arxiv",
    "version": 1
  }
}